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Finding the Fourth Proportional to 899.27, 1,355.35 and 849.03

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Solution

The fourth proportional to 899.27, 1,355.35 and 849.03 is: 1,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.27 : 1,355.35 = 849.03 : x
  2. Step 2: Convert to fraction form
    899.27/1,355.35 = 849.03/x
  3. Step 3: Cross multiply
    899.27x = 1,355.35 × 849.03
  4. Step 4: Simplify right side
    899.27x = 1,150,728.57
  5. Step 5: Solve for x
    x = 1,150,728.57/899.27
  6. Step 6: Final answer
    x = 1,279.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.